Question

A cylinder has a volume of 100π cubic meters.

a. What is the volume of the cylinder if the height is halved? Explain
b. What is the volume of the cylinder if the diameter is halved? Explain

Answer 1

a) V/2 ; b) V/4

Explanation:

a) V = πR²h

If h --> h/2 the new volume V' = πR²h/2 = V / 2

b) πR²h

If D --> D/2 then R --> R/2 and the new volume V" = π(R/2)²h = π(R)²h/4 = V/4